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What is the Least Common Multiple of 11185 and 11195?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 11185 and 11195 is 25043215.

LCM(11185,11195) = 25043215

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Least Common Multiple of 11185 and 11195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11185 and 11195, than apply into the LCM equation.

GCF(11185,11195) = 5
LCM(11185,11195) = ( 11185 × 11195) / 5
LCM(11185,11195) = 125216075 / 5
LCM(11185,11195) = 25043215

Least Common Multiple (LCM) of 11185 and 11195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11185 and 11195. First we will calculate the prime factors of 11185 and 11195.

Prime Factorization of 11185

Prime factors of 11185 are 5, 2237. Prime factorization of 11185 in exponential form is:

11185 = 51 × 22371

Prime Factorization of 11195

Prime factors of 11195 are 5, 2239. Prime factorization of 11195 in exponential form is:

11195 = 51 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 11185 and 11195.

LCM(11185,11195) = 51 × 22371 × 22391
LCM(11185,11195) = 25043215